83628590406 has 16 divisors (see below), whose sum is σ = 167330534448. Its totient is φ = 27863971200.

The previous prime is 83628590363. The next prime is 83628590407. The reversal of 83628590406 is 60409582638.

It is a super-2 number, since 2×83628590406² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83628590407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3041575 + ... + 3068946.

It is an arithmetic number, because the mean of its divisors is an integer number (10458158403).

Almost surely, 2^83628590406 is an apocalyptic number.

83628590406 is an abundant number, since it is smaller than the sum of its proper divisors (83701944042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83628590406 is a wasteful number, since it uses less digits than its factorization.

83628590406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112807.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 83628590406 in words is "eighty-three billion, six hundred twenty-eight million, five hundred ninety thousand, four hundred six".